Question

Write a standard equation of the circle with the center of (-10,7) and a radius of 4

Answer 1

The answer is (x + 10)² + (y – 7)² = (4)².

Explanation:

Given;

• The centre of the circle = (-10, 7)
• Radius of the circle = 4

To Find;

• Standard equation of the circle.

Formula;

• (x – a)² + (y – b)² = r²
• It is the general equation with centre (a, b) and radius r.

Here, a = (-10), b = 7 and r = 4.

So,

(x – a)² + (y – b)² = r²

[x – (-10)]² + (y – 7)² = (4)²

(x + 10)² + (y – 7)² = (4)²

Thus, The standard equation of the circle with the centre of (-10, 7) and a radius of 4 is

(x + 10)² + (y – 7)² = (4)².